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Finding the Fourth Proportional to 936.25, 1,292.14 and 543.27

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Solution

The fourth proportional to 936.25, 1,292.14 and 543.27 is: 749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.25 : 1,292.14 = 543.27 : x
  2. Step 2: Convert to fraction form
    936.25/1,292.14 = 543.27/x
  3. Step 3: Cross multiply
    936.25x = 1,292.14 × 543.27
  4. Step 4: Simplify right side
    936.25x = 701,980.21
  5. Step 5: Solve for x
    x = 701,980.21/936.25
  6. Step 6: Final answer
    x = 749.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.